Ruey-Lin Sheu

most citedS-Lemma with Equality and Its Applications

62 citations · 63 across the 3 of their papers we have counts for

collaborators

3 papers

math.OC2014

Double Well Potential Function and Its Optimization in The n-dimensional Real Space -- Part I

Shu-Cherng Fang, David Yang Gao, Gang-Xuan Lin +2

A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. When the function is bounded from below, it has a very unique propert…

math.OC2014★ 1 cited

Double Well Potential Function and Its Optimization in the n-dimensional Real Space - Part II

Yong Xia, Ruey-Lin Sheu, Shu-Cherng Fang +1

In contrast to taking the dual approach for finding a global minimum solution of a double well potential function, in Part II of the paper, we characterize a local minimizer, local…

math.OC2014★ 62 cited

S-Lemma with Equality and Its Applications

Yong Xia, Shu Wang, Ruey-Lin Sheu

Let $f (x) = x^{T} A x + 2 a^{T} x + c$ and $h (x) = x^{T} B x + 2 b^{T} x + d$ be two quadratic functions having symmetric matrices $A$ and $B$ . The S-lemma with equality asks when the unsolvability of the sys…